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Finding the Fourth Proportional to 71,133.80, 106,705.55 and 21,210.05

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Solution

The fourth proportional to 71,133.80, 106,705.55 and 21,210.05 is: 31,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,133.80 : 106,705.55 = 21,210.05 : x
  2. Step 2: Convert to fraction form
    71,133.80/106,705.55 = 21,210.05/x
  3. Step 3: Cross multiply
    71,133.80x = 106,705.55 × 21,210.05
  4. Step 4: Simplify right side
    71,133.80x = 2,263,230,370.57
  5. Step 5: Solve for x
    x = 2,263,230,370.57/71,133.80
  6. Step 6: Final answer
    x = 31,816.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.